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inn [45]
3 years ago
8

Car is driving at the rate of 58km per hour. How much time will it take to drive for distance of 32 miles? REASON?

Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
7 0

As we are given

Car is driving at the rate of 58km per hour

First we will have to convert it into miles per hour

As we know that 1 km per hour =0.621371 miles per hour

So we can say 58km per hour=58*0.621371 miles per hour=36.0395 miles per hour

We are supposed to find -"How much time will it take to drive for distance of 32 miles"

As we know that

Distance=Speed*Time

Time=\frac{Distance}{Speed}\\ \\ Time= \frac{32 miles }{36.0395 mph}\\ \\ Time=0.8879 \ hr

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2 years ago
A standard deck of cards contains 52 cards. One card is selected from the deck.​(a)Compute the probability of randomly selecting
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a. There are four 5s that can be drawn, and \binom43=4 ways of drawing any three of them. There are \binom{52}3=22,100 ways of drawing any three cards from the deck. So the probability of drawing three 5s is

\dfrac{\binom43}{\binom{52}3}=\dfrac4{22,100}=\dfrac1{5525}\approx0.00018

In case you're asked about the probability of drawing a 3 or a 5 (and NOT three 5s), then there are 8 possible cards (four each of 3 and 5) that interest you, with a probability of \frac8{52}=\frac2{13}\approx0.15 of getting drawn.

b. Similar to the second case considered in part (a), there are now 12 cards of interest with a probability \frac{12}{52}=\frac3{13}\approx0.23 of being drawn.

c. There are four 6s in the deck, and thirteen diamonds, one of which is a 6. That makes 4 + 13 - 1 = 16 cards of interest (subtract 1 because the 6 of diamonds is being double counted by the 4 and 13), hence a probability of \frac{16}{52}=\frac4{13}\approx0.31.

- - -

Note: \binom nk is the binomial coefficient,

\dbinom nk=\dfrac{n!}{k!(n-k)!}={}_nC_k=C(n,k)=n\text{ choose }k

6 0
3 years ago
Q supp r and m q =22 degrees
netineya [11]

Answer:

<R = 158

Step-by-step explanation:

Supplementary angles equal 180 degrees.

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2 years ago
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(7)/(3) of it is 5 (5)/(6)
slava [35]

let's firstly convert the mixed fraction to improper fraction and then take it from there, keeping in mind that the whole is "x".

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7 0
1 year ago
When the same whole number is added to both the numerator and denominator of $\frac{2}{5}$, the value of the new fraction is $\f
AVprozaik [17]

Answer:

Correct answer: x = 4

Step-by-step explanation:

If I saw your fractions right it's like this:

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We will check

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When we divide both numerator and denominator

with 3 we get 2/3

God is with you!!!

3 0
3 years ago
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